Information Processing Features Can Detect Behavioral Regimes of Dynamical Systems

Figure 1

Three selected features from for each ECA rule , namely, (“memory”), (“transfer”), and (“synergy”). Each dot corresponds to a rule and is color-coded by its Wolfram class , namely, black for the simple homogeneous (24) and periodic behaviors (196), green for complex behavior , and red for chaotic behavior (26). The transparency of a point indicates its distance away from the viewer, with more transparent points being farther away. A small random vector with average norm is added to each point in order to make rules with equal information features still visible. The gray plus signs are the projections of the 3D points on the two visible side faces (the S-M face is occluded) for better visibility of the positions of the points.